Generalized hypergeometric function 2F2: Specific values (formula 07.25.03.8106)

HypergeometricPFQ

$Mathematica Notation$

Hypergeometric Functions

HypergeometricPFQ[{a₁,a₂},{b₁,b₂},z]

Specific values

For integer and half-integer parameters and fixed z

For fixed z and a₁=-7/2, a₂>=-7/2

For fixed z and a₁=-7/2, a₂=5, b₁>=-11/2

For fixed z and a₁=-7/2, a₂=5, b₁=11/2

http://functions.wolfram.com/07.25.03.8106.01

Input Form

HypergeometricPFQ[{-(7/2), 5}, {11/2, 6}, z] == 840/(2431 z^5) + (1/(637272064 z^5)) (E^z (-220200960 - 181825665 z - 148388730 z^2 - 123599980 z^3 - 133739480 z^4 + 273912528 z^5 - 83814368 z^6 + 8575424 z^7 - 274560 z^8)) + (1/(1274544128 z^(9/2))) (Sqrt[Pi] (402026625 + 306306000 z + 257297040 z^2 + 245044800 z^3 + 476476000 z^4 - 623750400 z^5 + 175929600 z^6 - 17425408 z^7 + 549120 z^8) Erfi[Sqrt[z]])

Standard Form

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MathML Form

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Rule Form

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Date Added to functions.wolfram.com (modification date)

2007-05-02

HypergeometricPFQ[{},{},z]
HypergeometricPFQ[{},{b},z]
HypergeometricPFQ[{a},{},z]
HypergeometricPFQ[{a},{b},z]
HypergeometricPFQ[{a₁},{b₁,b₂},z]
HypergeometricPFQ[{a₁,a₂},{b₁},z]
HypergeometricPFQ[{a₁,a₂},{b₁,b₂,b₃},z]
HypergeometricPFQ[{a₁,a₂,a₃},{b₁,b₂},z]
HypergeometricPFQ[{a₁,a₂,a₃,a₄},{b₁,b₂,b₃},z]
HypergeometricPFQ[{a₁,a₂,a₃,a₄,a₅},{b₁,b₂,b₃,b₄},z]
HypergeometricPFQ[{a₁,a₂,a₃,a₄,a₅,a₆},{b₁,b₂,b₃,b₄,b₅},z]
HypergeometricPFQ[{a₁,...,a_p},{b₁,...,b_q},z]